• Acta Optica Sinica
  • Vol. 42, Issue 9, 0922002 (2022)
Dingtian Xu1、2, Haifeng Li1、2、*, and Liang Xu1、2
Author Affiliations
  • 1State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, Zhejiang, China
  • 2College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, China
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    DOI: 10.3788/AOS202242.0922002 Cite this Article Set citation alerts
    Dingtian Xu, Haifeng Li, Liang Xu. 360° Floating Display System Based on Human Eye Tracking and Its Distortion Correction Method[J]. Acta Optica Sinica, 2022, 42(9): 0922002 Copy Citation Text show less
    Basic principle of 360° floating display system based on human eye tracking
    Fig. 1. Basic principle of 360° floating display system based on human eye tracking
    Display system workflow
    Fig. 2. Display system workflow
    Image stitching method and detection effect of stitching place. (a) Image stitching method; (b) detection effect of stitching place
    Fig. 3. Image stitching method and detection effect of stitching place. (a) Image stitching method; (b) detection effect of stitching place
    Calculation method of vertical viewpoint angle
    Fig. 4. Calculation method of vertical viewpoint angle
    Catadioptric cylindrical projection optical system
    Fig. 5. Catadioptric cylindrical projection optical system
    360° display algorithm workflow
    Fig. 6. 360° display algorithm workflow
    MTF curves of catadioptric cylindrical projection optical system
    Fig. 7. MTF curves of catadioptric cylindrical projection optical system
    Mapping relations in different coordinate spaces
    Fig. 8. Mapping relations in different coordinate spaces
    Principles of predistortion correction and polar coordinate system conversion. (a) Correction principle; (b) before predistortion correction; (c) after predistortion correction
    Fig. 9. Principles of predistortion correction and polar coordinate system conversion. (a) Correction principle; (b) before predistortion correction; (c) after predistortion correction
    Physical structure of 360° floating display system. (a) System structure; (b) DLP projector optical and mechanical structure
    Fig. 10. Physical structure of 360° floating display system. (a) System structure; (b) DLP projector optical and mechanical structure
    Error of actual reference fiducial point and fitting reference fiducial point in cylindrical screen space. (a) Error of SFIS; (b) error of FFIS
    Fig. 11. Error of actual reference fiducial point and fitting reference fiducial point in cylindrical screen space. (a) Error of SFIS; (b) error of FFIS
    Cylindrical screen distortion correction results. (a) Target correction result; (b) before correction; (c) actual correction result
    Fig. 12. Cylindrical screen distortion correction results. (a) Target correction result; (b) before correction; (c) actual correction result
    Error between target correction result and actual correction result in camera space
    Fig. 13. Error between target correction result and actual correction result in camera space
    Display effect of different viewpoint positions. (a) Looking straight on left side; (b) looking straight in middle; (c) looking straight on right side; (d) looking down on left side; (e) looking down in middle; (f) looking down on right side
    Fig. 14. Display effect of different viewpoint positions. (a) Looking straight on left side; (b) looking straight in middle; (c) looking straight on right side; (d) looking down on left side; (e) looking down in middle; (f) looking down on right side
    ParameterSurface No.rkα2α4α6α8
    Value21-57.201-0.05207.362×10-7-7.799×10-113.414×10-14
    Table 1. Parameters of aspheric mirror
    Normalized field of viewTarget position /mmReal position /mmRelative distortion /%
    1.000-35.000-40.41115.46
    0.875-62.500-69.139-10.62
    0.750-90.000-92.5932.88
    0.625-117.500-117.015-0.41
    0.500-145.000-147.6781.84
    0.375-172.000-193.76112.65
    Table 2. Relative distortion of different fields of view
    ParameterValue
    Frame rate of DLP projector /(frame·s-1)60
    Resolution of DMD /(pixel×pixel)1280×720
    Diagonal length of DMD /mm7.93
    Diameter of cylinder screen /mm206
    Display height /mm160
    Frame rate of display system /(frame·s-1)40
    Viewing distance /m0.25-1.50
    Table 3. Parameters of display system
    Dingtian Xu, Haifeng Li, Liang Xu. 360° Floating Display System Based on Human Eye Tracking and Its Distortion Correction Method[J]. Acta Optica Sinica, 2022, 42(9): 0922002
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